Acad. G. Bonchev St.
8, 1113 Sofia,
Bulgaria, t.n. +359
3851; fax ++359-2-971
164, 53117 Bonn, Telefon: +49 228 73 4304
(sorry about the inconvenience but the address is subdivided for avoiding the
robots producing spam):
kounchev at the following addresses:
Director of Astroinformatics
Project with Bulgarian NSF
Director of Digitization Project with Serbian
Academy of Sciences, jointly with
of Astronomy, Bulgarian Academy of Sciences
“Signal Analysis and Mathematical Finance”
Presentations available online:
1. Krasimir Milanov (FinAnalytica Ltd.), Advanced
Numerical Methods for Financial Problems. Pricing of Derivatives, lecture
delivered on September 28, 2006
2. Prof. Racho
Denchev (Faculty of Mathematics and Informatics, Sofia University),
Lecture Notes on Market
"Computer Science and Mathematical Methods in Astroinforamtics",
at the Congress of MASSEE in
Ohrid, Macedonia, September 15-20, 2009.
Security through Science, Advanced Research Workshop “Scientific Support
for Decision Making in the Security Sector, October 21-25, 2006, Velingrad, Bulgaria.
of the NATO ARW: Cover,
and Table of Contents, Subject
and Author Index
n f e r e n c e on PDE Methods in Applied Mathematics and Image Processing, September 6-10,
2004, Sunny Beach, Bulgaria.
"Optimization, Approximation, Multiscale
Analysis with Applications to Signal and Image Processing" within the
Congress of Mathematical Society of Southeastern Europe, September 15-21, 2003, Borovets, Bulgaria
on "Multiscale Approximations (wavelets, splines, RBF) and applications to Signal and Image
Processing" within the Sendov Conference on Approximation theory in Varna,
June-17-23, 2002. See some photos with Sergei Mikhailovich
A list of
downloadable papers - still working on that...
Polysplines. Applications to Numerical and Wavelet Analysis, Academic Press/ currently Elsevier. 2001.
Amazon sale see here, or,
see how it looks like in Cover.
See some chapters: Table
of Contents, Chapter 1 which is the
6 containing applications of the polysplines
to magnetic data and to CAGD data, Chapter 13 which
contains an exposition of the Micchelli's theory of
cardinal L-splines, and Chapter 16
containing a brief review of Chui's cardinal spline
wavelet analysis. Here
you will find the data of the Cobb offset to which the polysplines were applied in Chapter 6.
ERRATA TO THE MONOGRAPH "Multivariate Polysplines"
(form prepared by Damyan Kalaglarski).
Alexander von Humboldt Foundation – Research Grants, 1992-1994;
Fulbright Commission – Senior Scholar Grant, 2000-2001
High School of Mathematics and Science "Acad. Liubomir Tchakalov"; see photo and short biography of
Experience (longer visits)
Visiting Institute of Applied Mathematics, University of Bonn, Germany
Visiting Institute of Mathematics, University of
2000-2001: Visiting Professor– Department of Computer
Sciences, University of Wisconsin
- Madison, USA
1999: Visiting Professor – Institute for
Applied Mathematics, University of Hamburg, Germany
1996-1998: Visiting by a Project "The Polyharmonicity Concept in Constructive Theory of Functions"
with the Volkswagen Foundation (Hannover) – Department of Mathematics, University
1997: Visiting Professor,
Institute for Applied Mathematics, University of Hamburg,
1994, 1995: Visiting Research Professor by
projects with the Max Planck Society – WG of the
Max Planck Society, Department of Mathematics,
1992-1994: Grant from the Alexander von Humboldt Foundation (Bonn)
– Department of Mathematics, University of
1991: Visiting Associate Professor,
Northwestern University, Evanston, USA
Associate Professor, Institute of Mathematics,
Professor, Institute of Mathematics,
Series Analysis, Multivariate Series Analysis, new methods based on Spline and
Wavelet Analysis; Applications to Mathematical Finance;
- Partial Differential Equations,
Potential Theory and Applications to Inverse problems in Geophysics and
- Applications of solutions of
higher order elliptic equations (in particular polyharmonic
and polyanalytic functions) to Multivariate
Constructive Theory of Functions – Approximation Theory, Spline Theory, Moment Problems and
- Applications of solutions of
higher order elliptic equations Computer Aided Geometric Design -
applications of polysplines to design of
automobile, aircraft fuselage, turbine, etc. surfaces;
- Harmonic Analysis and
especially Wavelet Analysis;
- Multivariate orthogonality,
approximations with applications to Inverse Problems in Spectral Theory,
and Operators in Hilbert space with infinite multiplicity, in particular Schroedinger operators;
- Elliptic BVP in domains with
2003-2008: Institutes Partnership with
the Alexander von Humboldt Foundation, with University of Bremen (Center for
Technomathematics, Prof. Peter Maass), University of Duisburg-Essen (Department
of Applied Analysis, Prof. Werner Haussmann, Prof. Gerlind Plonka, PD Hermann
Render), Max-Planck Institute for Mathematics in the Sciences in Leipzig
(Department of Scientific Computations, Prof. Wolfgang Hackbusch), University of
Potsdam (Department of Partial Differential Equations, Prof. Bert-Wolfgang
on May 8, 2006, at the University of Duisburg-Essen, campus Duisburg. Program of the Workshop.
Joint research project in
the framework of the Greek-Bulgarian S&T Cooperation “Study of biomedical
data by the methods of Multiresolution Analysis.
Applications of polyspline wavelets to immuno-computations and brain research”, with
participants from The Aristotle University of Thessaloniki (Department of
Informatics, Prof. Costas Karanikas, Dr. Nikolaos Atreas), and Institute of
Physiology and Institute of Information Technologies, Bulgarian Academy of
2005: Joint research project
via DFG “Applications of spline and wavelet
analysis to yield curve” with participants, University of Bonn (Department
of Applied Mathematics, Prof. Sergio Albeverio).
Might be very useful:
Last update: October 1,